Math 3364, Introduction
to Complex Analysis,
Fall 2020.
Classes
are Tu-Th 4-5.30pm via
synchronous on-line.
Currently the details of
the class are still under
construction. The
class will be presented
from my UH office which
is PGH 696 and
I'll be available
for online office hours
between 2.30-3.30 on Tu-Th
or my office telephone and
voicemail at 713-743-3475.
My email is checked daily
also.
A syllabus for this course
is available on the
undergraduate departmental
course web-site. There is
no required text for this
course which will cover
much of the material from
chapters 1 through 6 of
the text "Fundamentals of
Complex Analysis " by E.B.
Saff and A.D.
Snider, 3rd
edition, published
by Prentice Hall.
There are many similar
texts available which
could be used instead.
There is a tremendous
amount of information
available on the internet
about each individual
topic that will be
covered.
The aim
of the course is to
teach you about how
to work with, and
use, complex numbers
and functions. You will
learn about analytic
functions, complex
integration, mappings and
some important and
amazing formulae for
functions, integrals and
infinite series in the
course. The
emphasis will be on
solving problems relating
to the theory. This will
be done by regular
homework sets and as well
as in the mid-term and
final exams. Complex
analysis is a topic that
is used throughout science
and engineering; nearly
all the functions that
have names and you have
read about are analytic
functions and one needs
complex analysis to
determine their
properties and derive
formulae.
The prerequisite is Math
3331, Differential
equations or equivalent
and you should be
knowledgeable about the
material in Calculus I, II
and III.
Grades in this class will
be based on your
performance on homeworks
(30%), a mid-term (30%)
and a comprehensive final
exam (40%). About 6 or
7 homework
assignments will be given
and graded on a regular
basis.
The midterm exam will be on
Thursday October 15th and
the final will be on
Tuesday December 15th
2020 at 5pm as
listed in the UH final
exam schedule. The exams
are closed book and no
calculators, computers or
other electronic devices
may be used.
Below are some pdf
files with the slides from
the lectures through
November
23.
First
Lectures
October
lectures.
Complex
Integration
Sequences
and Series
Complex
Maps
Infinite Integrals
If you have any questions,
please call
713-743-3475 or send
e-mail to auchmuty@uh.edu.
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